# Solve By Factoring Worksheet

Solve each equation by factoring.

Click “Show Answer” underneath the problem to see the answer. Or click the “Show Answers” button at the bottom of the page to see all the answers at once.

If you need assistance with a particular problem, click the “step-by-step” link for an in depth solution.

## Example:

`Equation: x^2 - 12x + 27 = 0 `
`Answer: x = 3, 9`

## Quiz:

1. `Equation: x^2 + x = 0 `
`Answer: x = -1, 0`

2. `Equation: x^2 - 1 = 0 `
`Answer: x = -1, 1`

3. `Equation: x^2 - 5x + 6 = 0 `
`Answer: x = 2, 3`

4. `Equation: x^3 + 3x^2 - 4x = 0 `
`Answer: x = -4, 0, 1`

5. `Equation: x^4 - 10x^2 + 9 = 0 `
`Answer: x = -3, -1, 1, 3`

6. `Equation: y^2 - 10y + 21 = 0 `
`Answer: y = 3, 7`

7. `Equation: m^2 + 18m + 81 = 0 `
`Answer: m = -9`

8. `Equation: q^2 + 3q - 70 = 0 `
`Answer: q = -10, 7`

9. `Equation: a^2 - 12a + 32 = 0 `
`Answer: a = 4, 8`

10. `Equation: b^2 + 12b + 35 = 0 `
`Answer: b = -7, -5`

11. `Equation: 5j^2 - 20 = 0 `
`Answer: j = -2, 2`

12. `Equation: 3p^2 - 12p + 63 = 0 `
`Answer: p = -3, 7`

13. `Equation: -2p^2 + 28p - 66 = 0 `
`Answer: p = 3, 11`

14. `Equation: 20q^2 - 13q + 2 = 0 `
`Answer: q = 0.25, 0.40`

15. `Equation: 10x^2 - 9x + 2 = 0 `
`Answer: x = 0.4, 0.5`

16. `Equation: 16y^2 - 1 = 0 `
`Answer: y = -0.25, 0.25`

17. `Equation: 2x^3 - 9x^2 - 5x = 0 `
`Answer: x = -0.5, 0, 5`

18. `Equation: x^4 - x^2 = 0 `
`Answer: x = -1, 0, 1`

19. `Equation: 25x^3 - 10x^2 - 3x = 0 `
`Answer: x = -0.2, 0, 0.6`

20. `Equation: 16y^2 - 12y + 2 = 0 `
`Answer: y = 0.25, 0.5`

21. `Equation: x + 2 = 3x - x^2 + 5 `
`Answer: x = -1, 3`

22. `Equation: k^2 = k `
`Answer: k = 0, 1`

23. `Equation: p^2 + 21p - 49 = 21p `
`Answer: p = -7, 7`

24. `Equation: 5 = 9q + 2q^2 `
`Answer: q = -5, 0.5`

25. `Equation: g^2 = 13 - 12g `
`Answer: g = -13, 1`

26. `Equation: k^3 + 4k^2 + 4k = -k^3 + 10k `
`Answer: k = -3, 0, 1`

27. `Equation: (2m + 1)(2m + 1) = 4m + 2 `
`Answer: m = -0.5, 0.5`

28. `Equation: 15b = 11 - b^2 + 5b `
`Answer: b = -11, 1`

29. `Equation: x(x + 6)(x - 4) = 24x `
`Answer: x = -8, 0, 6`

30. `Equation: (y + 9)(y - 2) = 4y `
`Answer: y = -6, 3`

## Related Pages

Solve By Factoring Lesson

Equation Factoring Calculator

Automatically factors and solves equations.

## Tutoring

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